Convergence and stability of difference scheme for an elliptic system of non-linear differential-functional equations with boundary conditions of Dirichlet type
Bogusław Bożek (1984)
Annales Polonici Mathematici
Similarity:
Bogusław Bożek (1984)
Annales Polonici Mathematici
Similarity:
T. Lewiński (1984)
Applicationes Mathematicae
Similarity:
Joseph W. Jerome, Th. Kerkhoven (1990)
Numerische Mathematik
Similarity:
Ashordia, M. (1995)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Sophie Depeyre (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
We present in this paper a stability study concerning finite volume schemes applied to the two-dimensional Maxwell system, using rectangular or triangular meshes. A stability condition is proved for the first-order upwind scheme on a rectangular mesh. Stability comparisons between the Yee scheme and the finite volume formulation are proposed. We also compare the stability domains obtained when considering the Maxwell system and the convection equation.
Marek Galewski (2006)
Annales Polonici Mathematici
Similarity:
We provide existence and stability results for semilinear Dirichlet problems with nonlinearities satisfying some general local growth conditions. We derive a general abstract result which we then apply to prove the existence of solutions, their stability and continuous dependence on parameters for a sixth order ODE with Dirichlet type boundary data.
Stanisław Kasprzyk (1972)
Annales Polonici Mathematici
Similarity:
M. M. Zdravkovich (1970)
Matematički Vesnik
Similarity:
Sam B. Nadler, Jr. (1973)
Colloquium Mathematicae
Similarity:
Ashordia, M., Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Leites, D. (2004)
Journal of Mathematical Sciences (New York)
Similarity:
Kekelia, N. (2000)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Henryk Leszczyński, Piotr Zwierkowski (2004)
Applicationes Mathematicae
Similarity:
We consider a generalized 1-D von Foerster equation. We present two discretization methods for the initial value problem and study stability of finite difference schemes on regular meshes.
Marek Galewski (2004)
Annales Polonici Mathematici
Similarity:
We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity: